A241323 Number of nX2 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order

1, 8, 85, 1030, 13011, 165924, 2121033, 27129985, 347071157, 4440219758, 56806066313, 726751710350, 9297746189765, 118951351657555, 1521812314158867, 19469410910818078, 249083253366686135, 3186663809907191548

Offset

1,2

Comments

Column 2 of A241328

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 17*a(n-1) -57*a(n-2) +43*a(n-3) -37*a(n-4) +109*a(n-5) -62*a(n-6) -48*a(n-8) +36*a(n-9) for n>10

Example

Some solutions for n=4
..0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1
..0..2....2..1....2..2....1..1....2..3....0..2....2..1....2..1....2..1....1..1
..1..0....1..3....2..2....1..1....3..1....2..3....3..0....0..3....2..1....1..2
..3..0....1..2....0..2....1..2....2..1....0..2....2..3....0..3....2..3....0..2

Crossrefs

Sequence in context: A093103 A288691 A300675 * A349334 A261501 A371897

Adjacent sequences: A241320 A241321 A241322 * A241324 A241325 A241326

Keyword

nonn

Author

R. H. Hardin, Apr 19 2014

Status

approved